\(p\)-adic weaving multiframelets. (English) Zbl 1528.42039
Summary: Frames play significant role as redundant building blocks in distributed signal processing. Getting inspirations from this concept, T. Bemrose et al. [Oper. Matrices 10, No. 4, 1093–1116 (2016; Zbl 1358.42025)] produced the notion of weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving \(K\)-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator \(K\). This article presents a flavor of weaving multiframelets. Various properties of weaving multiframelets are explored in the \(p\)-adic number field. Furthermore, several characterizations of \(p\)-adic weaving multiframelets have been analyzed.
MSC:
| 42C15 | General harmonic expansions, frames |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Citations:
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